TSTP Solution File: SET787-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET787-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:01:32 EDT 2024

% Result   : Unsatisfiable 236.53s 31.78s
% Output   : CNFRefutation 236.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (   6 unt;   5 nHn;  15 RR)
%            Number of literals    :   32 (   9 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_142,plain,
    ( ~ member(X0,cons(X1,eptset))
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(c_143,plain,
    ( ~ member(X0,cons(X1,X2))
    | X0 = X1
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(c_150,plain,
    ( ~ member(X0,union(X1))
    | member(X0,unionE_sk1(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(c_151,plain,
    ( ~ member(X0,union(X1))
    | member(unionE_sk1(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(c_190,plain,
    ( ~ member(X0,X1)
    | member(X0,un(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI1) ).

cnf(c_191,plain,
    ( ~ member(X0,X1)
    | member(X0,un(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI2) ).

cnf(c_196,negated_conjecture,
    member(sk2,union(cons(a,cons(b,eptset)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).

cnf(c_197,negated_conjecture,
    ~ member(sk2,un(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).

cnf(c_5745,plain,
    ~ member(sk2,b),
    inference(superposition,[status(thm)],[c_191,c_197]) ).

cnf(c_5746,plain,
    ~ member(sk2,a),
    inference(superposition,[status(thm)],[c_190,c_197]) ).

cnf(c_49398,plain,
    ( ~ member(X0,union(cons(X1,X2)))
    | unionE_sk1(X0,cons(X1,X2)) = X1
    | member(unionE_sk1(X0,cons(X1,X2)),X2) ),
    inference(superposition,[status(thm)],[c_151,c_143]) ).

cnf(c_49984,plain,
    ( ~ member(X0,union(cons(X1,cons(X2,eptset))))
    | unionE_sk1(X0,cons(X1,cons(X2,eptset))) = X1
    | unionE_sk1(X0,cons(X1,cons(X2,eptset))) = X2 ),
    inference(superposition,[status(thm)],[c_49398,c_142]) ).

cnf(c_67794,plain,
    ( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
    | unionE_sk1(sk2,cons(a,cons(b,eptset))) = b ),
    inference(superposition,[status(thm)],[c_196,c_49984]) ).

cnf(c_68139,plain,
    ( ~ member(sk2,union(cons(a,cons(b,eptset))))
    | unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
    | member(sk2,b) ),
    inference(superposition,[status(thm)],[c_67794,c_150]) ).

cnf(c_68144,plain,
    unionE_sk1(sk2,cons(a,cons(b,eptset))) = a,
    inference(global_subsumption_just,[status(thm)],[c_68139,c_196,c_5745,c_68139]) ).

cnf(c_68151,plain,
    ( ~ member(sk2,union(cons(a,cons(b,eptset))))
    | member(sk2,a) ),
    inference(superposition,[status(thm)],[c_68144,c_150]) ).

cnf(c_68156,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_68151,c_5746,c_196]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET787-2 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 20:45:43 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 236.53/31.78  % SZS status Started for theBenchmark.p
% 236.53/31.78  % SZS status Unsatisfiable for theBenchmark.p
% 236.53/31.78  
% 236.53/31.78  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 236.53/31.78  
% 236.53/31.78  ------  iProver source info
% 236.53/31.78  
% 236.53/31.78  git: date: 2024-05-02 19:28:25 +0000
% 236.53/31.78  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 236.53/31.78  git: non_committed_changes: false
% 236.53/31.78  
% 236.53/31.78  ------ Parsing...successful
% 236.53/31.78  
% 236.53/31.78  
% 236.53/31.78  
% 236.53/31.78  ------ Preprocessing... sup_sim: 0  sf_s  rm: 16 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 236.53/31.78  
% 236.53/31.78  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 236.53/31.78  
% 236.53/31.78  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 236.53/31.78  ------ Proving...
% 236.53/31.78  ------ Problem Properties 
% 236.53/31.78  
% 236.53/31.78  
% 236.53/31.78  clauses                                 115
% 236.53/31.78  conjectures                             2
% 236.53/31.78  EPR                                     6
% 236.53/31.78  Horn                                    94
% 236.53/31.78  unary                                   19
% 236.53/31.78  binary                                  64
% 236.53/31.78  lits                                    243
% 236.53/31.78  lits eq                                 48
% 236.53/31.78  fd_pure                                 0
% 236.53/31.78  fd_pseudo                               0
% 236.53/31.78  fd_cond                                 0
% 236.53/31.78  fd_pseudo_cond                          17
% 236.53/31.78  AC symbols                              0
% 236.53/31.78  
% 236.53/31.78  ------ Input Options Time Limit: Unbounded
% 236.53/31.78  
% 236.53/31.78  
% 236.53/31.78  ------ 
% 236.53/31.78  Current options:
% 236.53/31.78  ------ 
% 236.53/31.78  
% 236.53/31.78  
% 236.53/31.78  
% 236.53/31.78  
% 236.53/31.78  ------ Proving...
% 236.53/31.78  
% 236.53/31.78  
% 236.53/31.78  % SZS status Unsatisfiable for theBenchmark.p
% 236.53/31.78  
% 236.53/31.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 236.53/31.78  
% 236.53/31.78  
%------------------------------------------------------------------------------